Given numbers are 864,724,987,542

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 864,724,987,542 is 13943041056.

Find LCM of 864,724,987,542 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 72 x 181 x 329 x 271 = 13943041056

Therefore, the lowest common multiple of 864,724,987,542 is 13943041056.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

864 x 724 x 987 x 542 = 334632985344

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

724 : 1, 2, 4, 181, 362, 724

987 : 1, 3, 7, 21, 47, 141, 329, 987

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,724,987,542, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

724:2x 2x 181

987:3x 7x 47

542:2x 271

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 334632985344/(1x24)

LCM = 334632985344/24

LCM = 13943041056

Thus, we can understand that the LCM of 864,724,987,542 is 13943041056.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 109, 737, 821, 840
• LCM of 323, 324, 752, 705
• LCM of 854, 241, 895, 720
• LCM of 631, 503, 295, 117
• LCM of 827, 515, 471, 528

1. What is the LCM of 864, 724, 987, 542?

Answer: LCM of 864, 724, 987, 542 is 13943041056.

2. How to calculate the LCM of 864, 724, 987, 542?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 864, 724, 987, 542.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.